Detecting nonclassicality of light via Lieb's concavity |
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Authors: | Shunlong Luo Yue Zhang |
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Institution: | 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People''s Republic of China;2. School of Mathematical Sciences, University of the Chinese Academy of Sciences, Beijing 100049, People''s Republic of China |
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Abstract: | Nonclassical light states are important for both conceptual and practical reasons: they are basic ingredients in testing and exploring quantum foundations, and are crucial resources in quantum technologies. Various useful criteria have been developed to detect nonclassicality in the literature, and several meaningful measures of nonclassicality have been introduced and measured experimentally. In this work, by use of a non-Hermitian generalization of the Wigner-Yanase-Dyson skew information and playing with operator ordering in evaluating average photon number, we develop a novel family of criteria for detecting nonclassicality of light based on Lieb's concavity, which is a deep and powerful result concerning interaction between quantum states and observables. We elucidate the information-theoretic as well as the physical meaning of the criteria, and illustrate their effectiveness in capturing and quantifying nonclassicality of various important light states. |
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Keywords: | Corresponding author Bosonic fields Nonclassical states Lieb's concavity Wigner-Yanase-Dyson information |
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